Lectures on Differential Geometry of Modules and Rings: Application to Quantum Theory - Brossura

Sardanashvily, Gennadi

Brossura

ISBN 10: 3659238066 ISBN 13: 9783659238062

Casa editrice: LAP LAMBERT Academic Publishing, 2012

Riassunto

Differential geometry of smooth vector bundles can be formulated in algebraic terms of modules over rings of smooth functions. Generalizing this construction, one can define the differential calculus, differential operators and connections on modules over arbitrary commutative, graded commutative and non-commutative rings. For instance, this is the case of quantum theory, supergeometry and non-commutative geometry, respectively. The book aims to summarize the relevant material on this subject. Some basic applications to quantum theory are considered. The book is based on the graduate and post graduate courses of lectures given at the Department of Theoretical Physics of Moscow State University (Russia) and the Department of Mathematics and Physics of University of Camerino (Italy). It addresses to a wide audience of mathematicians, mathematical physicists and theoreticians.

Su questo libro

L'autore

Gennadi Sardanashvily, theoretician and mathematical physicist, graduated from Moscow State University in 1973, Ph.D. (1980), D.Sc. (1998), Principal research scientist at the Department of Theoretical Physics of Moscow State University, published more than 300 scientific works and 22 text books and monographs.

Dettagli dell'edizione

• Editore: LAP LAMBERT Academic Publishing
• Data di pubblicazione: 2012
• Lingua: Inglese
• ISBN 10: 3659238066
• ISBN 13: 9783659238062
• Rilegatura: Copertina flessibile
• Numero di pagine: 176
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile